State true or false:
The value of ( $4^{- 7}$ ÷ $4^{- 10}$ ) × $4^{- 5}$ is $16^{- 1}$ .

True

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False

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Solution

The correct option is A
True

$(4^{- 7}$ ÷ $4^{- 10}$ ) × $4^{- 5}$
= $4^{- 7 + 10}$ × $4^{- 5}$
= $4^{3 - 5}$
= $4^{- 2}$
= $\frac{1}{16}$
= $16^{- 1}$

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Similar questions

The value of ( $4^{- 7} \div 4^{- 10}) \times 4^{- 5}$ is $16^{- 1}$ .

State true or false:
The value of x that satisfies the expression (17)^3.5x (17)^x = 17⁸ is 4.

State true or false:
The line represented by the equation 4x+5y =10 cuts the y axis at (0, 2).

5 x + 3 y + 1 = 0

\frac{4}{5}

(2 a - \frac{1}{a})

4 a^{2} - 4 + \frac{1}{a^{2}}

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